How do I simplify sqrt((1-cos110º)/(cos110º+1)?

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Answer 1 · 2018-07-30T02:55:10

Using formulae

$(1-costheta)=2sin^2(theta/2)$

and

$(1+costheta)=2cos^2(theta/2)$

$sqrt((1-cos110º)/(cos110^@+1))$

$=sqrt((2sin^2(110^@/2))/(2cos^2(110^@/2))$

$=sin55^@/cos55^@$

$=tan55^@$